Pith Number

pith:QZK6UCCW

pith:2017:QZK6UCCWGWBV64Y6UY4PAHMECB

not attested not anchored not stored refs pending

On different "middle parts" of a tree

Heather Smith, Hua Wang, L\'aszl\'o Sz\'ekely, Shuai Yuan

arxiv:1701.05215 v1 · 2017-01-18 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZK6UCCWGWBV64Y6UY4PAHMECB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:52:30.505898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8655ea085635835f731ea638f01d841052b761d35620265d855db3b89c17e76d

Aliases

arxiv: 1701.05215 · arxiv_version: 1701.05215v1 · doi: 10.48550/arxiv.1701.05215 · pith_short_12: QZK6UCCWGWBV · pith_short_16: QZK6UCCWGWBV64Y6 · pith_short_8: QZK6UCCW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QZK6UCCWGWBV64Y6UY4PAHMECB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8655ea085635835f731ea638f01d841052b761d35620265d855db3b89c17e76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcf495de30c5552a55f5f04b7feccb4f558b0f8c1f91e2368ffa52f13af59e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-18T19:38:44Z",
    "title_canon_sha256": "45968c7935c4d9b859d2b918f48d35f241ecaa6cb51cd95edf5c2ff2fb562e5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05215",
    "kind": "arxiv",
    "version": 1
  }
}